Under bathroom sink piping (exposed)

Question

We are looking at setting up the piping for under our wall mounted sink (no vanity, ie, piping will be exposed). And after our contractor finished putting the wall we noticed that the hole from the wall is not going to be aligned with the hole from the sink (faucet is wall mounted and cannot be moved, so we need to deal with the way it is).

We would like to use the below p-trap (purchased already, but can be returned if it is not going to work).

We have sketched below our layout with some dimensions. If anyone has any suggestions as to what sort of pipes (ideally chrome finish to match the p-trap) we can use to get, somehow, an acceptable result.

Suggestions are welcome Thanks

PS: We cannot break the wall and re-route the drain pipe as there are pipes on the way, so whatever we do has to be outside the wall (ie.: visible), we will likely put a shelf for towels below that could help cover a bit the piping.

Answer 1 layout: Thank you bcworkz for your answer, can you let me know if the below is what you are suggesting? Also, what sort of adapters would you use for the joints (at the wall top end and around the hole in the wall). Thanks again

Final Product Hi guys, first wanted to thank you bcworkz for your answer. Find below the final product. We might end up putting up a small shelf that will fill with spare towels to cover that extra piping the back.

Answer 1

That's a drum trap, not a P-Trap. Be sure it's listed to comply with your code requirements. Looks slick anyway. You'll need a 45 degree chrome compression ell and maybe some extra pipe. You'll end up with the trap arm out of the drum running at a 45 degree horizontal angle to the wall. It will be cut quite short before it enters the ell. Upon exiting the ell, it should be a straight shot to the wall connection. The remaining trap arm you cut off may or may not be long enough for this. It then ties into the wall pipe with the same adapter fitting you would normally have used.

The trap arm runs entirely horizontal, despite the ell, with just enough slope to drain (1/4" per foot). The only significant vertical drop is in the tail piece that drops straight down from the sink. If you prefer the 45 degree segment to be closer to the wall, you could do a variation using two 45 degree ells, such that the trap arm out of the drum goes straight back for a distance before making a dog leg to the wall drain.